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Finding the Fourth Proportional to 9,802.90, 14,688.15 and 8,344.90

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Solution

The fourth proportional to 9,802.90, 14,688.15 and 8,344.90 is: 12,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.90 : 14,688.15 = 8,344.90 : x
  2. Step 2: Convert to fraction form
    9,802.90/14,688.15 = 8,344.90/x
  3. Step 3: Cross multiply
    9,802.90x = 14,688.15 × 8,344.90
  4. Step 4: Simplify right side
    9,802.90x = 122,571,142.94
  5. Step 5: Solve for x
    x = 122,571,142.94/9,802.90
  6. Step 6: Final answer
    x = 12,503.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.